Julia-Mandelbrot Space

A 4-dimensional space in which the Julia and Mandelbrot iterations are
performed.

Two dimensions correspond to the Parameter values C used to start
the Iteration; the other two dimensions correspond to the Z values.

Julia Sets are cross-sections in the Z plane. The Mandelbrot Set is a
cross-section in the C plane passing through the origin.

If you are viewing an area of the Mandelbrot Set near a point P,
then the most obvious features of the filaments in the area will
resemble the Julia Set for C=P. Furthermore, the region near that
point P in that Julia Set will resemble a region near P in the
Mandelbrot Set, except for a scaling and rotation. This is the
Main Diagonal Symmetry.